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Finding the Fourth Proportional to 299,920.97, 449,882.31 and 86,706.24

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Solution

The fourth proportional to 299,920.97, 449,882.31 and 86,706.24 is: 130,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,920.97 : 449,882.31 = 86,706.24 : x
  2. Step 2: Convert to fraction form
    299,920.97/449,882.31 = 86,706.24/x
  3. Step 3: Cross multiply
    299,920.97x = 449,882.31 × 86,706.24
  4. Step 4: Simplify right side
    299,920.97x = 39,007,600,859.67
  5. Step 5: Solve for x
    x = 39,007,600,859.67/299,920.97
  6. Step 6: Final answer
    x = 130,059.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.